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Grabarnik, Genady Ya.; Katz, Alexander A.; Shwartz, Laura

doi:https://doi.org/10.1155/IJMMS.2005.2307

International Journal of Mathematics and Mathematical Sciences

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Volume 2005 | Article ID 730204 | https://doi.org/10.1155/IJMMS.2005.2307

On weak convergence of iterates in quantum Lp-spaces (p≥1)

Genady Ya. Grabarnik,¹Alexander A. Katz,²and Laura Shwartz³

Received13 Apr 2005

Abstract

Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1-spaces for general von Neumann algebra and general JBW algebras, as well as for Segal-Dixmier Lp-spaces (1≤p<∞) affiliated to semifinite von Neumann algebras and semifinite JBW algebras without direct summands of type I2.

Copyright

Copyright © 2005 Genady Ya. Grabarnik et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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